90177472 has 112 divisors (see below), whose sum is σ = 231160320. Its totient is φ = 33868800.

The previous prime is 90177463. The next prime is 90177487. The reversal of 90177472 is 27477109.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142597 + ... + 143227.

Almost surely, 2^90177472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580160).

90177472 is an abundant number, since it is smaller than the sum of its proper divisors (140982848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90177472 is a wasteful number, since it uses less digits than its factorization.

90177472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 90177472 is about 9496.1819696128. The cubic root of 90177472 is about 448.4348456431.

The spelling of 90177472 in words is "ninety million, one hundred seventy-seven thousand, four hundred seventy-two".